ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
I have a question on power and quotient rules. How would I do the problem, (4y3/y-5)-3
Formula Formula d d x f g = g × d d x f - f × d d x g g 2 , i f g ≠ 0
Expert Solution
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![\large \left(\frac{4y^3}{y^{-5}}\right)^{-3}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%5Cleft%28%5Cfrac%7B4y%5E3%7D%7By%5E%7B-5%7D%7D%5Cright%29%5E%7B-3%7D)
apply exponent rule ![a^{-b}=\frac{1}{a^b}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20a%5E%7B-b%7D%3D%5Cfrac%7B1%7D%7Ba%5Eb%7D)
![\large =\frac{1}{\left(\frac{4y^3}{y^{-5}}\right)^3}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%3D%5Cfrac%7B1%7D%7B%5Cleft%28%5Cfrac%7B4y%5E3%7D%7By%5E%7B-5%7D%7D%5Cright%29%5E3%7D)
apply exponent rule ![\large \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%5Cleft%28%5Cfrac%7Ba%7D%7Bb%7D%5Cright%29%5Ec%3D%5Cfrac%7Ba%5Ec%7D%7Bb%5Ec%7D)
![\large =\frac{\left(4y^3\right)^3}{\left(y^{-5}\right)^3}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%3D%5Cfrac%7B%5Cleft%284y%5E3%5Cright%29%5E3%7D%7B%5Cleft%28y%5E%7B-5%7D%5Cright%29%5E3%7D)
apply exponent rule ![\large \left(a\cdot \:b\right)^n=a^nb^n](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%5Cleft%28a%5Ccdot%20%5C%3Ab%5Cright%29%5En%3Da%5Enb%5En)
![\large =\frac{4^3\left(y^3\right)^3}{\left(y^{-5}\right)^3}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%3D%5Cfrac%7B4%5E3%5Cleft%28y%5E3%5Cright%29%5E3%7D%7B%5Cleft%28y%5E%7B-5%7D%5Cright%29%5E3%7D)
![\large =\frac{64\left(y^3\right)^3}{\left(y^{-5}\right)^3}](https://latex.codecogs.com/gif.latex?%5Cfn_cm%20%5Clarge%20%3D%5Cfrac%7B64%5Cleft%28y%5E3%5Cright%29%5E3%7D%7B%5Cleft%28y%5E%7B-5%7D%5Cright%29%5E3%7D)
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